Presently I am thinking about questions related to semiorthogonal decomposition of bounded derived categories, modular functors and braided tensor categories, Verlinde type formulas for twisted conformal blocks, moduli of parahoric Bruhat-Tits torsors and their connections to conformal blocks. I am also interested in questions related to hyperplane arrangements and in particular its connection to representation theory of Lie algebras. I have also worked on applying conformal blocks divisor to the birational geometry of moduli of curves.
A brief presentation of my recent work can be found here. Please feel free to browse my papers below. My past and current collaborators are P. Belkale, P. Belmans, I. Biswas, P. Brosnan,T. Deshpande, S. Galkin, A. Gibney, A. Paul, R. Wentworth. and H. Zelaci
Here is the link to the algebraic geometry seminar in TIFR. Along with Chiara Damiolini and Johan Martens, I organized a conference on Bundles and Conformal Blocks with a twist in ICMS, Edinburgh from June 13-17, 2022